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HSC 2016 MX2 Marathon ADVANCED (archive) (1 Viewer)

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lita1000

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Re: HSC 2016 4U Marathon - Advanced Level

any interesting questions?
 

Sy123

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Re: HSC 2016 4U Marathon - Advanced Level

What do you mean by "both equations are equal"?
How does this allow us to prove that P(p + sqrt(q)) = 0 -> P(p - sqrt(q)) = 0? (for any integer polynomials P)
 

Drsoccerball

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Re: HSC 2016 4U Marathon - Advanced Level

What do you mean by "both equations are equal"?
How does this allow us to prove that P(p + sqrt(q)) = 0 -> P(p - sqrt(q)) = 0? (for any integer polynomials P)
Well I found the equations that satisfied each root separately and they happened to be equal and thus have the equation has both roots given.
 

Sy123

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Re: HSC 2016 4U Marathon - Advanced Level



 

Sy123

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Re: HSC 2016 4U Marathon - Advanced Level

Well I found the equations that satisfied each root separately and they happened to be equal and thus have the equation has both roots given.
Your argument needs to be clearer for it to be a mathematical proof

I'm still not sure what you are trying to say here, the equations and both have a root in common, but why does tha tell us anything special about those equations?
 

Sy123

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Re: HSC 2016 4U Marathon - Advanced Level

 

InteGrand

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Re: HSC 2016 4U Marathon - Advanced Level

Your argument needs to be clearer for it to be a mathematical proof

I'm still not sure what you are trying to say here, the equations and both have a root in common, but why does tha tell us anything special about those equations?
 

InteGrand

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Re: HSC 2016 4U Marathon - Advanced Level

magnitude of force? speed of ball? I'm not sure how to work with a dimensionless vector.
I think it essentially can have any speed and the answer is not impacted, because the path traced out is the same (I think we are assuming a perfect mathematical universe with no friction or loss of energy in any way, and perfect reflection off the walls; so the ball moves for an infinite amount of time (and the speed is constant)).
 
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